Answer:
The slope is [tex]-50[/tex]. The slope means that the amount of money in the account is decreasing at a rate of $[tex]50[/tex] every week.
Step-by-step explanation:
Given coordinates are [tex](4,2400)\ and\ (12,2000)[/tex]
We need to find the slope of the graph, and explain what does slope means for this graph.
The formula for computing slope [tex](m)[/tex] is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where [tex](x_1.y_1)[/tex] and [tex](x_2,y_2)[/tex] are the point on the line.
Let us plug points [tex](4,2400)\ and\ (12,2000)[/tex] in the equation
[tex]m=\frac{2000-2400}{12-4}\\ \\m=\frac{-400}{8}\\\\m=-50[/tex]
Here, the negative sign of slope [tex](m)[/tex] represents that the value of the function (budget) is decreasing, with an increase in time (week).
The slope is [tex]-50[/tex]. The slope means that the amount of money in the account is decreasing at a rate of $[tex]50[/tex] every week.
